The answer is about the same as if a hurricane hit your house. You would still own it, but your future costs would depend on what insurance there is and how big the deductibles are.
With a timeshare, a storm that causes major damage will likely mean higher costs for you, either in the form of a SA (Special Assessment) or higher maintenance fees or both. That's because hurricane insurance is so expensive that most, if not all, timeshare resorts don't fully insure the timeshare property. They have big deductible provision in the insurance policy, which significantly reduces premiums and might well be the only insurance available.